A Study of the Bulk Phase Transitions of the SU(2) Lattice Gauge Theory with Mixed Action

Details A Study of the Bulk Phase Transitions of the SU(2) Lattice Gauge Theory with Mixed Action A Study of the Bulk Phase Transitions of the SU(2) Lattice Gauge Theory with Mixed Action

1996-03-04

arxiv.org/abs/hep-lat/9603003v1

Nucl.Phys. B474 (1996) 446-460

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 17 Pages; 7 Postscript Figures appended

Scientific paper

10.1016/0550-3213(96)00293-3

Using the finite size scaling theory, we re-examine the nature of the bulk phase transition in the fundamental-adjoint coupling plane of the SU(2) lattice gauge theory at $\beta_A = 1.25$ where previous finite size scaling investigations of the deconfinement phase transition showed it to be of first order for temporal lattices with four sites. Our simulations on $N^4$ lattices with N=6, 8, 10, 12 and 16 show an absence of a first order bulk phase transition. We find the discontinuity in the average plaquette to decrease approximately linearly with $N$. Correspondingly, the plaquette susceptibility grows a lot slower with the 4-volume of the lattice than expected from a first order bulk phase transition.

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